What is the derivative of f(x)=e^{1/2 x} ?

The derivative of f(x)=e^{1/2 x} is e^{x/2} 1/2

What is the first derivative of f(x)=e^{1/2 x} ?

The first derivative of f(x)=e^{1/2 x} is e^{x/2} 1/2

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derivative of

f (x) = e^{\frac{1}{2} x}

e^{\frac{x}{2}} \frac{1}{2}

Solution steps

\frac{d}{d x} (e^{\frac{1}{2} x})

Simplify

e^{\frac{1}{2} x} : e^{\frac{x}{2}}

= \frac{d}{d x} (e^{\frac{x}{2}})

Apply the chain rule:

e^{\frac{x}{2}} \frac{d}{d x} (\frac{x}{2})

= e^{\frac{x}{2}} \frac{d}{d x} (\frac{x}{2})

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

= e^{\frac{x}{2}} \frac{1}{2}

\frac{d}{d x} (x + 7)

\frac{d y}{d x}, x^{2} + 5 x + 9 x y - y^{2} = 4

1 + 6 x^{\frac{3}{2}}

\int \frac{1}{3 + x + 2} d x

y^{^{''}} - 2 y^{^{'}} - 3 y = 64 x e^{- x}

What is the derivative of f(x)=e^{1/2 x} ?
The derivative of f(x)=e^{1/2 x} is e^{x/2} 1/2
What is the first derivative of f(x)=e^{1/2 x} ?
The first derivative of f(x)=e^{1/2 x} is e^{x/2} 1/2